Discrete multifractals

Mathematical Geology

Volumn 29, Issue 2, 1997, Pages 245-266

  Cheng, Qiuming ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

Discrete multifractals; Discrete multiplicative cascade model; Fractal spectrum; Ocean Drilling Program

Indexed keywords

DISCRETE MULTIPLICATIVE CASCADE MODEL; FRACTAL SPECTRUM; MULTIFRACTAL;

EID: 0030874470     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02769631     Document Type: Article

References (24)

1. Agterberg, F. P., 1994, Fractals, multifractals, and change of support, in Dimitrakopoulos, R., ed., Geostatistics for the next century: Kluwer Academic Publ., Dordrecht, The Netherlands, p. 223-234.
2. Agterberg, F. P., Cheng, Q., and Wright, D. F., 1993, Fractal modeling of mineral deposits, in Elbrond, J., and Tang, X., eds., Application of computers and operations research in the mineral industry: Proc. 24th APCOM Symposium (Montreal), Can. Inst. Mining, Metallurgy and Petroleum Eng., v. 1, p. 43-53.
3. Agterberg, F. P., Cheng, Q., Brown, A., and Good, D., 1996, Multifractal modeling of fractures in Lac DC Bonnet batholith, Manitoba: Computers & Geoscience, v. 22, no. 5, p. 497-507.
4. Arthur, M., Srivastava, S., Aksu, A., Baldauf, J., and others, 1986, High latitude palaeoceanography from the Leg 105 shipboard scientific party; Nature, v. 320, no. 6057, p. 17-18.
5. Cheng, Q., 1994, Multifractal modeling and spatial analysis with GIS: gold potential estimation in the Mitchell-Sulphurets area, northwestern British Columbia: unpubl. doctoral dissertation, School of Graduate Studies and Research, Univ. Ottawa, 268 p.
6. Cheng, Q., and Agterberg, F. P., 1995, Multifractal modeling and spatial point processes: Math. Geology, v. 27, no. 7, p. 831-845.
7. Cheng, Q., and Agterberg, F. P., 1996a, Multifractal modeling and spatial statistics: Math. Geology, v. 28, no. 1, p. 1-16.
8. Cheng, Q., and Agterberg, A. F., 1996b, Comparison between two types of multifractal modeling: Math. Geology, v. 28, no. 8, p. 1001-1015.
9. Cheng, Q., Agterberg, F. P., and Ballantyne, S. B., 1994, The separation of geochemical anomalies from background by fractal methods: Jour. Geochemical Exploration., v. 51, no. 2, p. 109-130.
10. Cheng, Q., Agterberg, F. P., and Bonham-Carter, G. F., 1995, GIS treatment of multifractality of spatial objects: Proc. Geomatics'95 on CDRom available from Surveys and Mapping Branch, NRCan, 615 Booth Street, Ottawa, Canada.
11. Cheng, Q., Bonham-Carter, G. F., Bajc, A., and Hall, G. E. M., 1997a, Statistical study of trace elements in the soluble organic phase of surfacial sediments, Sudbury Basin: (1) Multivariate and spatial analysis: Jour. Geochemical Exploration, in press.
12. Cheng, Q., Bonham-Carter, G. F., Bajc, A., and Hall, G. E. M., 1997b, Statistical study of trace elements in the soluble organic phase of surfacial sediments, Sudbury Basin: (2) Multifractal analysis: submitted to Jour. Geochemical Exploration.
13. Evertsz, C. J. G., and Mandelbrot, B. B., 1992, Multifractal measures, in Peitgen, H.-O., Jürgens, H., and Saupe, D., eds., Chaos and fractals: Springer-Verlag, New York, p. 922-953.
14. Feder, J., 1988, Fractals: Plenum Press, New York, 283 p.
15. Lavallée, D., Schertzer, D., and Lovejoy, S., 1991, On the determination of the codimension function, in Schertzer, D., and Lovejoy, S., eds., Non-linear variability in geophysics: Kluwer Academic Publ., Dordrecht, The Netherlands, p. 99-109.
16. 6 m, in Schertzer, D., and Lovejoy, S., eds., Non-linear variability in geophysics: Kluwer Academic Publ., Dordrecht, The Netherlands, p. 111-144.
17. Mandelbrot, B. B., and Evertsz, C. J. G., 1991, Exactly self-similar left-sided multifractals, in Bunde, A., and Havlin, S., eds., Fractals and disordered systems: Springer-Verlag, Heidelberg, p. 323-344.
18. Meneveau, C., and Sreenivasan, K. R., 1987, Simple multifractal cascade model for fully developed turbulence: Phys. Review Letters v. 59, no. 13, p. 1424-1427.
19. Piper, D. J. W., Mudie, P. J., Fader, G. B., Josenhans, H. W., MacLean, B., and Vilks, G., 1990, Quaternary geology, in Keen, M. J., and Williams, G. L., eds., Geology of the con tinental margin of eastern Canada: Geology of Canada, no. 2, Geol. Survey Canada, Chap 10, p. 477-607.
20. Schertzer, D., and Lovejoy, S., 1987, Physically based rain and cloud modeling by anisotropic, multiplicative turbulent cascades: Jour. Geophys. Res., v. 92, no. D8, p. 9693-9714.
21. Schertzer, D., and Lovejoy, S., eds., 1991a, Non-linear variability in geophysics: Kluwer Academic Publ., Dordrecht, The Netherlands, 318 p.
22. Schertzer, D., and Lovejoy, S., 1991b, Nonlinear geodynamical variability: Multiple singularities, universality and observations, in Schertzer, D., and Lovejoy, D., eds., Non-linear variability in geophysics: Kluwer Academic Publ., Dordrecht, The Netherlands p. 41-82.
23. Schertzer, D., and Lovejoy, S., 1992, Hard and soft multifractal processes: Physica A, v. 185, nos. 1-4, p. 187-194.
24. Stanley, H., and Meakin, P., 1988, Multifractal phenomena in physics and chemistry: Nature, v. 335, no. 6189, p. 405-409.